vagulus, This is a topic that has been extremely well researched and analyzed from every possible perspective for decades by some very smart engineers, even accountants, managers, builders, and politicians. Countless prototypes have been built and tested. Every option includes unanticipated benefits, costs, and risks. I don't have to go through the calculations myself to accept their results.
The same argument has existed, also for several decades, with propeller driven aircraft. Two blades? Three? Four? Even five or more? ALL those variations have been analyzed, built, flown, and maintained. Most fixed-pitch propellers will have two blades. Simple to build and very reliable. Variable pitch propellers nowadays will usually have three blades. You usually only see four bladed props on a few old very high-power models (think P-47 and B-29).
Several models have experimented with five blades. I think the Spitfire variant is the most widely known. Some pusher models like the now-defunct Beechcraft Starship also had five blades.
But after all things are considered, including actual performance and reliability, the three-blade design has come out on top.
